Finite Group Databasebeta

← #25982324

Subgroups — #25982324

Order 11008.

2044 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148880C211yesmaximal, characteristic, complemented
2#19148253C211yesmaximal, characteristic, complemented
3#19146926C211yesmaximal, characteristic, complemented
4#19146841C211yesmaximal, characteristic, complemented
5#19146717C211yesmaximal, characteristic, complemented
6#19146699C211yesmaximal, characteristic, complemented
7#19146657C211yesmaximal, characteristic, complemented
8#19146594C211yesmaximal, characteristic, complemented
9#19146530C211yesmaximal, characteristic, complemented
10#19146483C211yesmaximal, characteristic, complemented
11#19146330C211yesmaximal, characteristic, complemented
12#19146319C211yesmaximal, characteristic, complemented
13#19146254C211yesmaximal, characteristic, complemented
14#19146245C211yesmaximal, characteristic, complemented
15#19146180C211yesmaximal, characteristic, complemented
16#19146178C211yesmaximal, characteristic, complemented
17#19146163C211yesmaximal, characteristic, complemented
18#19146150C211yesmaximal, characteristic, complemented
19#19145685C211yesmaximal, characteristic, complemented
20#19145663C211yesmaximal, characteristic, complemented
21#19145464C211yesmaximal, characteristic, complemented
22#19145443C211yesmaximal, characteristic, complemented
23#19145432C211yesmaximal, characteristic, complemented
24#19145378C211yesmaximal, characteristic, complemented
25#19144889C211yesmaximal, characteristic, complemented
26#19144817C211yesmaximal, characteristic, complemented
27#19143905C211yesmaximal, characteristic, complemented
28#19143885C211yesmaximal, characteristic, complemented
29#19143855C211yesmaximal, characteristic, complemented
30#19143640C211yesmaximal, characteristic, complemented
31C43×#3002C211yesmaximal, characteristic, complemented
32C2×#13063373C2211yescharacteristic
33C2×#13063357C2211yescharacteristic, complemented
34C2×#13063355C2211yescharacteristic
35C2×#13063355C2211yescharacteristic
36C2×#13063354C2211yescharacteristic, complemented
37C2×#13063346C2211yescharacteristic, complemented
38C2×Q16×D43C2211yescharacteristic, complemented
39#14583652—21no—
40#14583646—21no—
41#14583617C2211yescharacteristic, complemented
42#14583608—21no—
43#14583607C2211yescharacteristic, complemented
44#14583601C2211yescharacteristic, complemented
45#14583598—21no—
46#14583588C2211yescharacteristic, complemented
47#14583568—21no—
48#14583568—21no—
49#14583568C2211yescharacteristic
50#14583568C2211yescharacteristic
51#14583568C2211yescharacteristic
52#14583568C2211yescharacteristic
53#14583562C2211yescharacteristic, complemented
54#14583556—21no—
55#14583556—21no—
56#14583556C2211yescharacteristic
57#14583556C2211yescharacteristic
58#14583556C2211yescharacteristic
59#14583556C2211yescharacteristic
60#14583556C2211yescharacteristic, complemented
61#14583555C2211yescharacteristic, complemented
62#14583548C2211yescharacteristic, complemented
63#14583516C2211yescharacteristic
64#14583514—21no—
65#14583509C2211yescharacteristic
66#14583491—21no—
67#14583484—21no—
68#14583484—21no—
69#14583478C2211yescharacteristic
70#14583472C2211yescharacteristic
71#14583466—21no—
72#14583466—21no—
73#14583466C2211yescharacteristic
74#14583466C2211yescharacteristic
75#14583410—21no—
76#14583410—21no—
77#14583410C2211yescharacteristic
78#14583410C2211yescharacteristic
79C2×#13063304C2211yescharacteristic
80#14583377C2211yescharacteristic
81#14583290C2211yescharacteristic, complemented
82#14583287C2211yescharacteristic, complemented
83#14583282C2211yescharacteristic, complemented
84#14583270C2211yescharacteristic, complemented
85#14583262C2211yescharacteristic, complemented
86#14583257C2211yescharacteristic, complemented
87#14583252C2211yescharacteristic, complemented
88#14583244C2211yescharacteristic, complemented
89#14583241C2211yescharacteristic
90#14583241C2211yescharacteristic
91#14583240C2211yescharacteristic, complemented
92#14583237C2211yescharacteristic
93#14583230C2211yescharacteristic, complemented
94#14583223C2211yescharacteristic, complemented
95#14583222C2211yescharacteristic, complemented
96#14583221C2211yescharacteristic, complemented
97#14583220C2211yescharacteristic
98#14583216C2211yescharacteristic, complemented
99#14583213C2211yescharacteristic, complemented
100#14583211C2211yescharacteristic, complemented
101#14583208C2211yescharacteristic, complemented
102#14583204C2211yescharacteristic, complemented
103#14583192C2211yescharacteristic, complemented
104#14583182C2211yescharacteristic, complemented
105#14583155C2211yescharacteristic, complemented
106#14583150C2211yescharacteristic, complemented
107#14583149C2211yescharacteristic, complemented
108#14583147C2211yescharacteristic, complemented
109#14583144C2211yescharacteristic, complemented
110#14583144C2211yescharacteristic, complemented
111#14583143C2211yescharacteristic, complemented
112#14583142C2211yescharacteristic, complemented
113#14583140C2211yescharacteristic, complemented
114#14583140C2211yescharacteristic, complemented
115#14583132C2211yescharacteristic, complemented
116#14583128C2211yescharacteristic, complemented
117#14583128C2211yescharacteristic, complemented
118#14583127C2211yescharacteristic, complemented
119#14583127C2211yescharacteristic, complemented
120#14583125C2211yescharacteristic, complemented
121#14583120C2211yescharacteristic, complemented
122#14583120C2211yescharacteristic, complemented
123#14583119C2211yescharacteristic, complemented
124#14583119C2211yescharacteristic, complemented
125#14583119C2211yescharacteristic, complemented
126#14583112C2211yescharacteristic, complemented
127#14583107C2211yescharacteristic, complemented
128#14583107C2211yescharacteristic, complemented
129#14583098C2211yescharacteristic, complemented
130#14583098C2211yescharacteristic, complemented
131#14583097C2211yescharacteristic, complemented
132#14583092C2211yescharacteristic, complemented
133#14583064C2211yescharacteristic, complemented
134#14583064C2211yescharacteristic, complemented
135#14583063C2211yescharacteristic
136#14583063C2211yescharacteristic
137#14583061C2211yescharacteristic
138#14583061C2211yescharacteristic
139#14583061C2211yescharacteristic
140#14583061C2211yescharacteristic
141#14583061C2211yescharacteristic, complemented
142#14583060C2211yescharacteristic, complemented
143#14583059C2211yescharacteristic
144#14583057C2211yescharacteristic, complemented
145#14583056C2211yescharacteristic, complemented
146#14583056C2211yescharacteristic, complemented
147#14583055C2211yescharacteristic
148#14583055C2211yescharacteristic
149#14583053C2211yescharacteristic, complemented
150#14583050C2211yescharacteristic
151#14583050C2211yescharacteristic
152#14583044C2211yescharacteristic, complemented
153#14583043C2211yescharacteristic, complemented
154#14583042C2211yescharacteristic
155#14583041C2211yescharacteristic, complemented
156#14583041C2211yescharacteristic, complemented
157#14583040C2211yescharacteristic, complemented
158#14583036C2211yescharacteristic, complemented
159#14583036C2211yescharacteristic, complemented
160#14583036C2211yescharacteristic, complemented
161#14583006C2211yescharacteristic, complemented
162#14583003C2211yescharacteristic, complemented
163#14583003C2211yescharacteristic, complemented
164#14583000C2211yescharacteristic, complemented
165Q16×Dic43C2211yescharacteristic, complemented
166#14582991C2211yescharacteristic, complemented
167#14582991C2211yescharacteristic, complemented
168SD16×Dic43C2211yescharacteristic, complemented
169#14582974C2211yescharacteristic, complemented
170#14582974C2211yescharacteristic, complemented
171#14582973C2211yescharacteristic, complemented
172#14582973C2211yescharacteristic, complemented
173#14582970C2211yescharacteristic, complemented
174#14582970C2211yescharacteristic, complemented
175C8×C22⋊D43C2211yescharacteristic, complemented
176C8×C22⋊D43C2211yescharacteristic, complemented
177#14582957C2211yescharacteristic
178#14582957C2211yescharacteristic
179#14582906C2211yescharacteristic, complemented
180#14582900C2211yescharacteristic
181#14582900C2211yescharacteristic
182#14582899C2211yescharacteristic, complemented
183#14582894C2211yescharacteristic, complemented
184#103×D43C2211yescharacteristic, complemented
185#14582864C2211yescharacteristic
186#14582864C2211yescharacteristic
187#14582863C2211yescharacteristic
188C22×#41×C43C2211yescharacteristic
189C2×#135×C43C2211yescharacteristic
190C2×#135×C43C2211yescharacteristic
191C43×#525C2211yescharacteristic
192C43×#452C2211yescharacteristic
193C43×#452C2211yescharacteristic
194C43×#451C2211yescharacteristic
195C43×#450C2211yescharacteristic
196C43×#449C2211yescharacteristic
197C43×#449C2211yescharacteristic
198C43×#448C2211yescharacteristic
199C43×#447C2211yescharacteristic
200C43×#416C2211yescharacteristic
201C43×#416C2211yescharacteristic
202C2×C22⋊C8×C43C2211yescharacteristic
203#13063373—42no—
204#13063373—42no—
205C2×#10621902—21no—
206C2×#10621902C2311yescharacteristic
207C2×#10621902C2311yescharacteristic
208C2×#10621898—21no—
209C2×#10621898—21no—
210C2×#10621898C2311yescharacteristic
211C2×#10621898C2311yescharacteristic
212C2×#10621900C2311yescharacteristic
213C22×Dic86C2311yescharacteristic
214C2×Q8×D43—21no—
215C2×Q8×D43C2311yescharacteristic
216C2×Q8×D43C2311yescharacteristic
217C2×Q8×D43C2311yescharacteristic
218#13063357—42no—
219#13063355—42no—
220#13063355—42no—
221#13063354—42no—
222#13063346—42no—
223C2×Dic172C2311yescharacteristic
224C2×Dic172C2311yescharacteristic
225C2×#10621885C2311yescharacteristic
226C2×#10621885C2311yescharacteristic
227C2×#10621885C2311yescharacteristic
228C2×#10621885C2311yescharacteristic
229C2×#10621885C2311yescharacteristic
230Q16×D43—42no—
231C2×#10621873C2311yescharacteristic
232C2×#10621873C2311yescharacteristic
233C2×#10621883C2311yescharacteristic
234C2×#10621883C2311yescharacteristic
235C2×#10621883C2311yescharacteristic
236C2×#10621883C2311yescharacteristic
237C2×#10621883C2311yescharacteristic
238C2×#10621884C2311yescharacteristic
239C2×#10621882C2311yescharacteristic
240C2×#10621877C2311yescharacteristic
241C2×#10621877C2311yescharacteristic
242C2×#10621872C2311yescharacteristic
243C2×#10621872C2311yescharacteristic
244C2×C8×D43C2311yescharacteristic
245C2×C8×D43C2311yescharacteristic
246#13063324—21no—
247#13063324—21no—
248#13063324C2311yescharacteristic
249#13063323C2311yescharacteristic
250#13063321—21no—
251#13063321—21no—
252#13063321—21no—
253#13063321—21no—
254#13063321—21no—
255#13063321C2311yescharacteristic
256#13063321C2311yescharacteristic
257#13063319—21no—
258#13063318—21no—
259#13063318—21no—
260#13063318—21no—
261#13063318—21no—
262#13063318—21no—
263#13063318—21no—
264#13063317—21no—
265#13063316—21no—
266#13063316C2311yescharacteristic
267#13063315—21no—
268#13063315—21no—
269#13063312—21no—
270#13063312—21no—
271#13063312—21no—
272#13063312—21no—
273#13063312—21no—
274#13063312—21no—
275#13063312—21no—
276#13063312C2311yescharacteristic
277#13063312C2311yescharacteristic
278#13063312C2311yescharacteristic
279#13063311—21no—
280#13063311—21no—
281#13063311—21no—
282#13063310—21no—
283#13063309—21no—
284#13063308—21no—
285#13063308—21no—
286#13063308D411yescharacteristic
287#13063308D411yescharacteristic
288#13063307—21no—
289#13063307—21no—
290#13063306—21no—
291#13063306—21no—
292#13063305—21no—
293#13063305C2311yescharacteristic
294#13063305C2311yescharacteristic
295#13063304—21no—
296#13063304—21no—
297#13063304—21no—
298#13063304—21no—
299#13063304—21no—
300#13063304—21no—
301#13063304—21no—
302#13063304D411yescharacteristic
303#13063304D411yescharacteristic
304#13063304C2311yescharacteristic
305#13063304C2311yescharacteristic
306#13063304C2311yescharacteristic
307#13063304C2311yescharacteristic
308#13063304C2311yescharacteristic
309#13063304C2311yescharacteristic
310#13063303—21no—
311#13063302—21no—
312#13063302—21no—
313#13063302—21no—
314#13063302—21no—
315#13063302—21no—
316#13063301C2311yescharacteristic
317#13063299—21no—
318#13063299—21no—
319#13063299—21no—
320#13063299—21no—
321#13063299D411yescharacteristic
322#13063299D411yescharacteristic
323#13063299C2311yescharacteristic
324#13063299C2311yescharacteristic
325#13063298—21no—
326#13063297—21no—
327#13063297—21no—
328#13063297—21no—
329#13063297—21no—
330#13063296—21no—
331#13063296—21no—
332#13063296—21no—
333#13063296—21no—
334#13063296—21no—
335#13063296—21no—
336#13063296—21no—
337#13063296—21no—
338#13063296—21no—
339#13063296—21no—
340#13063296—21no—
341#13063296—21no—
342#13063296C2311yescharacteristic
343#13063296C2311yescharacteristic
344#13063296C2311yescharacteristic
345#13063296C2311yescharacteristic
346#13063296C2311yescharacteristic
347#13063294—21no—
348#13063294—21no—
349#13063294—21no—
350#13063294—21no—
351#13063294—21no—
352#13063294D411yescharacteristic
353#13063294D411yescharacteristic
354Q8×Dic43—21no—
355Q8×Dic43—21no—
356Q8×Dic43C2311yescharacteristic
357Q8×Dic43C2311yescharacteristic
358Q8×Dic43C2311yescharacteristic
359Q8×Dic43C2311yescharacteristic
360Q8×Dic43C2311yescharacteristic
361C4×Dic86—21no—
362#13063290C2311yescharacteristic
363#13063290C2311yescharacteristic
364D4×Dic43—21no—
365D4×Dic43—21no—
366D4×Dic43C2311yescharacteristic
367C4×C22⋊D43—21no—
368C4×C22⋊D43—21no—
369C4×C22⋊D43—21no—
370C4×C22⋊D43—21no—
371C4×C22⋊D43—21no—
372C4×C22⋊D43—21no—
373C4×C22⋊D43—21no—
374C4×C22⋊D43—21no—
375C4×C22⋊D43—21no—
376C4×C22⋊D43—21no—
377C4×C22⋊D43—21no—
378C4×C22⋊D43C2311yescharacteristic
379C4×C22⋊D43C2311yescharacteristic
380C4×C22⋊D43C2311yescharacteristic
381C4×C22⋊D43C2311yescharacteristic
382(C22⋊D43)⋊C4—21no—
383(C22⋊D43)⋊C4—21no—
384#13063284—21no—
385#13063284—21no—
386#13063284C2311yescharacteristic
387#13063284C2311yescharacteristic
388#13063283C2311yescharacteristic
389#13063282—21no—
390C2×C4⋊Dic43C2311yescharacteristic
391C2×Dic43⋊C4—21no—
392C2×Dic43⋊C4—21no—
393C4⋊C4×D43C2311yescharacteristic
394C2×C22⋊Dic43—21no—
395#13063259C2311yescharacteristic
396#13063259C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063258C2311yescharacteristic
399#13063257C2311yescharacteristic
400#13063257C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405Dic43⋊C8C2311yescharacteristic
406Dic43⋊C8C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063249C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063245C2311yescharacteristic
430#13063245C2311yescharacteristic
431C22⋊(C43⋊C8)C2311yescharacteristic
432C22⋊(C43⋊C8)C2311yescharacteristic
433C22⋊(C43⋊C8)C2311yescharacteristic
434C22⋊(C43⋊C8)C2311yescharacteristic
435(C2×D43)⋊C8C2311yescharacteristic
436(C2×D43)⋊C8C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439#13063235C2311yescharacteristic
440#13063235C2311yescharacteristic
441C8×Dic43C2311yescharacteristic
442C8×Dic43C2311yescharacteristic
443C2×#41×C43—21no—
444C2×#41×C43—21no—
445C2×#41×C43—42no—
446C2×#41×C43—42no—
447C2×#41×C43C2311yescharacteristic
448C2×#41×C43C2311yescharacteristic
449C2×#41×C43C2311yescharacteristic
450C2×#41×C43C2311yescharacteristic
451C2×#41×C43C2311yescharacteristic
452C22×Q8×C43C2311yescharacteristic
453C22×D4×C43—21no—
454C22×D4×C43C2311yescharacteristic
455C23×C4×C43—21no—
456C23×C4×C43C2311yescharacteristic
457#135×C43—42no—
458#135×C43—42no—
459C2×Q16×C43C2311yescharacteristic
460C2×Q16×C43C2311yescharacteristic
461C2×SD16×C43C2311yescharacteristic
462C2×SD16×C43C2311yescharacteristic
463C2×SD16×C43C2311yescharacteristic
464C2×SD16×C43C2311yescharacteristic
465C2×D8×C43C2311yescharacteristic
466C2×D8×C43C2311yescharacteristic
467C22×C8×C43C2311yescharacteristic
468C22×C8×C43C2311yescharacteristic
469#123×C43—21no—
470C22⋊Q8×C43C2311yescharacteristic
471C22⋊Q8×C43C2311yescharacteristic
472#121×C43C2311yescharacteristic
473#121×C43C2311yescharacteristic
474#120×C43—21no—
475C4×D4×C43—21no—
476C4×D4×C43—21no—
477#117×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486C22⋊C8×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488C22⋊C8×C43C2311yescharacteristic
489C22⋊C8×C43C2311yescharacteristic
490C24×C43—21no—
491C24×C43C2×D411yescharacteristic
492#41×C43—22no—
493#41×C43—22no—
494#41×C43—22no—
495#41×C43—22no—
496#41×C43—41no—
497#41×C43—41no—
498#41×C43—41no—
499#41×C43—41no—
500#41×C43—41no—
501#41×C43—41no—
502#41×C43—44no—
503#41×C43—44no—
504C2×Q8×C43—22no—
505C2×Q8×C43—22no—
506C2×Q8×C43—21no—
507C2×Q8×C43C2411yescharacteristic
508C2×Q8×C43C2411yescharacteristic
509C2×Q8×C43C2411yescharacteristic
510C2×D4×C43—21no—
511C2×D4×C43—21no—
512C2×D4×C43—21no—
513C2×D4×C43—21no—
514C2×D4×C43—21no—
515C2×D4×C43—21no—
516C2×D4×C43—21no—
517C2×D4×C43—21no—
518C2×D4×C43—41no—
519C2×D4×C43—41no—
520C2×D4×C43—44no—
521C2×D4×C43C2411yescharacteristic
522C2×D4×C43C2411yescharacteristic
523C2×D4×C43C2411yescharacteristic
524C22×C4×C43—21no—
525C22×C4×C43—21no—
526C22×C4×C43—21no—
527C22×C4×C43—21no—
528C22×C4×C43—21no—
529C22×C4×C43—21no—
530C22×C4×C43—41no—
531C22×C4×C43—41no—
532C22×C4×C43—44no—
533C22×C4×C43C2×D411yescharacteristic
534C22×C4×C43C2×D411yescharacteristic
535C22×C4×C43C2×D411yescharacteristic
536C22×C4×C43C2411yescharacteristic
537C22×C4×C43C2411yescharacteristic
538C22×C4×C43C2411yescharacteristic
539C2×C22⋊D43—21no—
540C2×C22⋊D43—21no—
541C2×C22⋊D43—21no—
542C2×C22⋊D43—21no—
543C2×C22⋊D43—21no—
544C2×C22⋊D43—21no—
545C2×C22⋊D43—21no—
546C2×C22⋊D43—21no—
547C2×C22⋊D43—21no—
548C2×C22⋊D43—21no—
549C2×C22⋊D43—21no—
550C2×C22⋊D43—21no—
551C2×C22⋊D43—21no—
552C2×C22⋊D43C2×D411yescharacteristic
553C2×C22⋊D43C2×D411yescharacteristic
554C2×C22⋊D43C2×D411yescharacteristic
555C2×C22⋊D43C2×D411yescharacteristic
556C2×C22⋊D43C2×D411yescharacteristic
557C2×C22⋊D43C2×D411yescharacteristic
558C22×Dic43—21no—
559C22×Dic43—21no—
560C22×Dic43—21no—
561C22×Dic43—21no—
562#10621902—22no—
563#10621902—22no—
564#10621902—41no—
565#10621902—41no—
566#10621902—44no—
567Q8×D43—22no—
568Q8×D43—22no—
569Q8×D43—41no—
570Q8×D43—41no—
571Q8×D43—41no—
572Q8×D43—41no—
573Q8×D43—44no—
574#10621900—41no—
575#10621900—41no—
576#10621898—41no—
577#10621898—41no—
578#10621898—41no—
579#10621898—41no—
580#10621898—44no—
581#10621898—44no—
582C2×D172—21no—
583C2×D172—21no—
584C2×D172C2×D411yescharacteristic
585C2×D172C2411yescharacteristic
586C2×C4×D43—21no—
587C2×C4×D43—21no—
588C2×C4×D43—21no—
589C2×C4×D43—21no—
590C2×C4×D43—21no—
591C2×C4×D43—21no—
592C2×C4×D43—21no—
593C2×C4×D43C2411yescharacteristic
594C2×C4×D43C2411yescharacteristic
595C2×Dic86—21no—
596C2×Dic86—21no—
597C2×Dic86—21no—
598C2×Dic86—21no—
599C2×Dic86—21no—
600C2×Dic86—41no—
601C2×Dic86—41no—
602C2×Dic86C2×D411yescharacteristic
603C2×Dic86C2411yescharacteristic
604C2×Dic86C2411yescharacteristic
605C2×Dic86C2411yescharacteristic
606Q16×C43—22no—
607Q16×C43—22no—
608SD16×C43—22no—
609SD16×C43—22no—
610SD16×C43—41no—
611SD16×C43—41no—
612D8×C43—41no—
613D8×C43—41no—
614C2×C8×C43—41no—
615C2×C8×C43—41no—
616C2×C8×C43C2411yescharacteristic
617C2×C8×C43C2411yescharacteristic
618C2×C8×C43C2411yescharacteristic
619C2×C8×C43C2411yescharacteristic
620C4⋊C4×C43—21no—
621C4⋊C4×C43—21no—
622C4⋊C4×C43C2411yescharacteristic
623C4⋊C4×C43C2411yescharacteristic
624C22⋊C4×C43—21no—
625C22⋊C4×C43—21no—
626C22⋊C4×C43—21no—
627C22⋊C4×C43—21no—
628C22⋊C4×C43—21no—
629C42×C43—21no—
630C22⋊Dic43—21no—
631C22⋊Dic43—21no—
632C22⋊Dic43—21no—
633C22⋊Dic43—21no—
634C22⋊Dic43—21no—
635C22⋊Dic43—21no—
636C22⋊Dic43—21no—
637C22⋊Dic43—21no—
638C22⋊Dic43—21no—
639C22⋊Dic43—21no—
640C22⋊Dic43—21no—
641C22⋊Dic43—21no—
642C22⋊Dic43—21no—
643C22⋊Dic43—21no—
644C22⋊Dic43—21no—
645C22⋊Dic43—21no—
646C22⋊Dic43—21no—
647C22⋊Dic43—21no—
648C22⋊Dic43—21no—
649C22⋊Dic43C2×D411yescharacteristic
650C22⋊Dic43C2×D411yescharacteristic
651C22⋊Dic43C2×D411yescharacteristic
652C22⋊Dic43C2×D411yescharacteristic
653C22⋊Dic43C2×D411yescharacteristic
654C22⋊Dic43C2×D411yescharacteristic
655#10621885—22no—
656#10621885—22no—
657#10621885—22no—
658#10621885—22no—
659#10621885—41no—
660#10621884—41no—
661#10621883—41no—
662#10621883—41no—
663#10621883—41no—
664#10621883—41no—
665#10621883—41no—
666#10621882—41no—
667(C2×D43)⋊C4—21no—
668(C2×D43)⋊C4—21no—
669(C2×D43)⋊C4—21no—
670(C2×D43)⋊C4—21no—
671(C2×D43)⋊C4—21no—
672(C2×D43)⋊C4—21no—
673(C2×D43)⋊C4C2×D411yescharacteristic
674(C2×D43)⋊C4C2×D411yescharacteristic
675(C2×D43)⋊C4C2×D411yescharacteristic
676(C2×D43)⋊C4C2×D411yescharacteristic
677C4⋊Dic43—21no—
678C4⋊Dic43—21no—
679C4⋊Dic43—21no—
680C4⋊Dic43—21no—
681C4⋊Dic43—21no—
682C4⋊Dic43—21no—
683C4⋊Dic43—21no—
684C4⋊Dic43—21no—
685C4⋊Dic43—21no—
686C4⋊Dic43C2×D411yescharacteristic
687C4⋊Dic43C2×D411yescharacteristic
688C4⋊Dic43C2411yescharacteristic
689C4⋊Dic43C2411yescharacteristic
690C4⋊Dic43C2411yescharacteristic
691C4⋊Dic43C2411yescharacteristic
692Dic43⋊C4—21no—
693Dic43⋊C4—21no—
694Dic43⋊C4—21no—
695Dic43⋊C4—21no—
696Dic43⋊C4—21no—
697Dic43⋊C4—21no—
698Dic43⋊C4—21no—
699Dic43⋊C4—21no—
700Dic43⋊C4—21no—
701Dic43⋊C4—21no—
702Dic43⋊C4—21no—
703Dic43⋊C4—21no—
704Dic43⋊C4—21no—
705Dic43⋊C4—21no—
706Dic43⋊C4C2×D411yescharacteristic
707Dic43⋊C4C2×D411yescharacteristic
708Dic43⋊C4C2×D411yescharacteristic
709Dic43⋊C4C2×D411yescharacteristic
710C4×Dic43—21no—
711C4×Dic43—21no—
712C4×Dic43—21no—
713C4×Dic43—21no—
714C4×Dic43—21no—
715C4×Dic43—21no—
716C4×Dic43—21no—
717C4×Dic43—21no—
718C4×Dic43—21no—
719C4×Dic43C2411yescharacteristic
720C4×Dic43C2411yescharacteristic
721#10621877—41no—
722#10621877—41no—
723C2×C43⋊C8C2411yescharacteristic
724C2×C43⋊C8C2411yescharacteristic
725C2×C43⋊C8C2411yescharacteristic
726C2×C43⋊C8C2411yescharacteristic
727Dic172—41no—
728Dic172—41no—
729#10621873—41no—
730#10621873—41no—
731#10621872—41no—
732#10621872—41no—
733C8×D43—41no—
734C8×D43—41no—
735C23×C43—21no—
736C23×C43—21no—
737C23×C43—21no—
738C23×C43—41no—
739C23×C43—41no—
740C23×C43—41no—
741C23×C43—42no—
742C23×C43—81no—
743C23×C43—81no—
744C23×C43C22×D411yescharacteristic
745C23×C43C22×D411yescharacteristic
746C23×C43C22×D411yescharacteristic
747C22×D43—21no—
748C22×D43C22×D411yescharacteristic
749C22×D43C22×D411yescharacteristic
750Q8×C43—24no—
751Q8×C43—21no—
752Q8×C43—21no—
753Q8×C43—21no—
754Q8×C43—21no—
755Q8×C43H(5,𝔽2)12yes—
756Q8×C43H(5,𝔽2)12yes—
757D4×C43—21no—
758D4×C43—21no—
759D4×C43—21no—
760D4×C43—21no—
761D4×C43—21no—
762D4×C43—21no—
763D4×C43—42no—
764D4×C43—42no—
765D4×C43—42no—
766D4×C43—42no—
767D4×C43—42no—
768D4×C43—42no—
769D4×C43—81no—
770D4×C43—81no—
771C2×C4×C43—24no—
772C2×C4×C43—21no—
773C2×C4×C43—21no—
774C2×C4×C43—21no—
775C2×C4×C43—21no—
776C2×C4×C43—21no—
777C2×C4×C43—21no—
778C2×C4×C43—21no—
779C2×C4×C43—21no—
780C2×C4×C43—21no—
781C2×C4×C43—21no—
782C2×C4×C43—21no—
783C2×C4×C43—41no—
784C2×C4×C43—41no—
785C2×C4×C43—41no—
786C2×C4×C43—42no—
787C2×C4×C43—42no—
788C2×C4×C43—42no—
789C2×C4×C43—42no—
790C2×C4×C43—81no—
791C2×C4×C43C22×D411yescharacteristic
792C2×C4×C43C22×D411yescharacteristic
793C2×C4×C43C22×D411yescharacteristic
794C2×C4×C43C2511yescharacteristic
795C22⋊D43—41no—
796C22⋊D43—41no—
797C22⋊D43—41no—
798C22⋊D43—41no—
799C22⋊D43—41no—
800C22⋊D43—41no—
801C22⋊D43—42no—
802C22⋊D43—81no—
803C22⋊D43—81no—
804C22⋊D43—81no—
805C22⋊D43—81no—
806C22⋊D43—81no—
807C22⋊D43—81no—
808C22⋊D43—81no—
809C22⋊D43—81no—
810C22⋊D43—81no—
811C22⋊D43—81no—
812C22⋊D43—81no—
813C22⋊D43—81no—
814C2×Dic43—21no—
815C2×Dic43—21no—
816C2×Dic43—21no—
817C2×Dic43—21no—
818C2×Dic43—21no—
819C2×Dic43—21no—
820C2×Dic43—21no—
821C2×Dic43—81no—
822C2×Dic43—81no—
823C2×Dic43—81no—
824C2×Dic43—81no—
825C2×Dic43C22×D411yescharacteristic
826C2×Dic43C22×D411yescharacteristic
827C2×Dic43C22×D411yescharacteristic
828C2×Dic43C22×D411yescharacteristic
829C2×Dic43C22×D411yescharacteristic
830C2×Dic43C22×D411yescharacteristic
831D172—21no—
832D172—21no—
833D172—41no—
834D172—42no—
835D172—42no—
836C4×D43—21no—
837C4×D43—21no—
838C4×D43—21no—
839C4×D43—21no—
840C4×D43—42no—
841C4×D43—42no—
842C4×D43—42no—
843C4×D43—42no—
844C4×D43—42no—
845C4×D43—81no—
846C4×D43—81no—
847Dic86—21no—
848Dic86—21no—
849Dic86—21no—
850Dic86—21no—
851Dic86—21no—
852Dic86—21no—
853Dic86—41no—
854Dic86—42no—
855Dic86—42no—
856Dic86—81no—
857Dic86—81no—
858Dic86—81no—
859C8×C43—21no—
860C8×C43—21no—
861C8×C43—21no—
862C8×C43—21no—
863C43⋊C8—21no—
864C43⋊C8—21no—
865C43⋊C8—21no—
866C43⋊C8—21no—
867#61615—431nomaximal, Sylow
868C22×C43—21no—
869C22×C43—21no—
870C22×C43—21no—
871C22×C43—21no—
872C22×C43—21no—
873C22×C43—21no—
874C22×C43—21no—
875C22×C43—21no—
876C22×C43—21no—
877C22×C43—41no—
878C22×C43—41no—
879C22×C43—41no—
880C22×C43—41no—
881C22×C43—41no—
882C22×C43—41no—
883C22×C43—41no—
884C22×C43—41no—
885C22×C43—41no—
886C22×C43—82no—
887C22×C43—84no—
888C22×C43C23×D411yescharacteristic
889C2×D43—21no—
890C2×D43—21no—
891C2×D43—21no—
892C2×D43—21no—
893C2×D43—21no—
894C2×D43—21no—
895C2×D43—41no—
896C2×D43—41no—
897C2×D43—41no—
898C4×C43—22no—
899C4×C43—22no—
900C4×C43—21no—
901C4×C43—21no—
902C4×C43—21no—
903C4×C43—41no—
904C4×C43—41no—
905C4×C43—41no—
906C4×C43C2×H(5,𝔽2)11yescharacteristic
907C4×C43C2×H(5,𝔽2)11yescharacteristic
908Dic43—21no—
909Dic43—21no—
910Dic43—21no—
911Dic43—21no—
912Dic43—21no—
913Dic43—21no—
914Dic43—41no—
915Dic43—41no—
916Dic43—41no—
917Dic43—41no—
918Dic43—41no—
919Dic43—41no—
920Dic43—41no—
921#3541—431no—
922#3487—431no—
923#3333—431no—
924#3326—431no—
925#3317—431no—
926#3316—431no—
927#3313—431no—
928#3309—431no—
929#3304—431no—
930#3300—431no—
931#3285—431no—
932#3284—431no—
933#3278—431no—
934#3277—431no—
935#3271—431no—
936#3271—431no—
937#3270—431no—
938#3269—431no—
939#3224—431no—
940#3222—431no—
941#3200—431no—
942#3198—431no—
943#3197—431no—
944#3190—431no—
945#3127—431no—
946#3121—431no—
947#3013—431no—
948#3011—431no—
949#3007—431no—
950#3002D4311yescharacteristic, complemented
951#2976—431no—
952C2×C43—41no—
953C2×C43—41no—
954C2×C43—41no—
955C2×C43—81no—
956C2×C43—81no—
957C2×C43—81no—
958C2×C43#348411yescharacteristic
959C2×C43#358411yescharacteristic
960C2×C43#358611yescharacteristic
961D43—41no—
962D43—41no—
963D43—81no—
964C2×2−1+4—431no—
965C22×#41C2×D4311yescharacteristic
966C2×#137—431no—
967C2×#137—431no—
968C2×#137—431no—
969C2×#137—431no—
970C2×#135—431no—
971C2×#135C2×D4311yescharacteristic
972C2×#135C2×D4311yescharacteristic
973C22×Q16—431no—
974#563—861no—
975#562—861no—
976#556—431no—
977#554—431no—
978#554—861no—
979#553—431no—
980#553—861no—
981#552—431no—
982#550—431no—
983#550—431no—
984#550—431no—
985#550—431no—
986#550—861no—
987#550—861no—
988D4×Q8—431no—
989#548—431no—
990#548—431no—
991#548—431no—
992#548—431no—
993#548—431no—
994#548—431no—
995#548—861no—
996#548—861no—
997#547—431no—
998#542—431no—
999#542—861no—
1000#541—431no—
1001#539—861no—
1002#538—861no—
1003#538—861no—
1004#537—431no—
1005#536—431no—
1006#535—431no—
1007#535—431no—
1008#535—861no—
1009#535—861no—
1010#525—431no—
1011#525—431no—
1012#525—861no—
1013#525—861no—
1014#525C2×D4311yescharacteristic
1015C2×C22⋊Q8—431no—
1016#519—431no—
1017#497—431no—
1018#496—431no—
1019#495—431no—
1020#492—431no—
1021#490—431no—
1022#489—431no—
1023#488—431no—
1024#486—431no—
1025#485—431no—
1026#485—431no—
1027#485—431no—
1028#485—431no—
1029#483—431no—
1030#482—431no—
1031#482—431no—
1032#482—431no—
1033#482—431no—
1034#481—431no—
1035#480—431no—
1036#480—431no—
1037#479—431no—
1038#479—431no—
1039#477—431no—
1040#475—431no—
1041#470—431no—
1042#469—431no—
1043#469—431no—
1044#468—431no—
1045#468—431no—
1046#468—431no—
1047#468—431no—
1048#468—431no—
1049#467—431no—
1050#467—431no—
1051#466—431no—
1052#465—431no—
1053#465—431no—
1054#465—431no—
1055#465—431no—
1056#465—431no—
1057#464—431no—
1058#464—431no—
1059#464—431no—
1060#464—431no—
1061#464—431no—
1062#463—431no—
1063#462—431no—
1064#462—431no—
1065#460—431no—
1066#460—431no—
1067#460—431no—
1068#459—431no—
1069#452—431no—
1070#452—431no—
1071#452—431no—
1072#452—431no—
1073#452—431no—
1074#452—431no—
1075#452—431no—
1076#452—431no—
1077#452—431no—
1078#452—431no—
1079#452—431no—
1080#452C2×D4311yescharacteristic
1081#452C2×D4311yescharacteristic
1082#451—431no—
1083#451—431no—
1084#451—431no—
1085#451—431no—
1086#451—431no—
1087#451—431no—
1088#451C2×D4311yescharacteristic
1089#450—431no—
1090#450—431no—
1091#450C2×D4311yescharacteristic
1092#449—431no—
1093#449—431no—
1094#449—431no—
1095#449—431no—
1096#449—431no—
1097#449C2×D4311yescharacteristic
1098#449C2×D4311yescharacteristic
1099#448—431no—
1100#448—431no—
1101#448—431no—
1102#448—431no—
1103#448C2×D4311yescharacteristic
1104#447C2×D4311yescharacteristic
1105#441—431no—
1106#441—431no—
1107#441—431no—
1108#440—431no—
1109C4×Q16—431no—
1110C4×Q16—431no—
1111C4×Q16—431no—
1112C4×SD16—431no—
1113#436—431no—
1114#436—431no—
1115#435—431no—
1116#435—431no—
1117#435—431no—
1118#435—431no—
1119C8×D4—431no—
1120C8×D4—431no—
1121#433—431no—
1122#433—431no—
1123#419—431no—
1124#417—431no—
1125#417—431no—
1126#417—431no—
1127#416—431no—
1128#416C2×D4311yescharacteristic
1129#416C2×D4311yescharacteristic
1130C2×#103—431no—
1131#408—431no—
1132#408—431no—
1133#407—431no—
1134C2×C22⋊C8C2×D4311yescharacteristic
1135C43#6161511yescharacteristic, complemented, Sylow
11362−1+4—1722no—
11372−1+4—1722no—
1138C2×#41—21no—
1139C2×#41—21no—
1140C2×#41—42no—
1141C2×#41—42no—
1142C2×#41—431no—
1143C2×#41—431no—
1144C2×#41—431no—
1145C2×#41—431no—
1146C2×#41—431no—
1147C2×#41—861no—
1148C2×#41—861no—
1149C2×#41—861no—
1150C2×#41C22×D4311yescharacteristic
1151C2×#41C22×D4311yescharacteristic
1152C2×#41C22×D4311yescharacteristic
1153C2×#41C22×D4311yescharacteristic
1154C2×#41C22×D4311yescharacteristic
1155C22×Q8—431no—
1156C22×Q8—431no—
1157C22×Q8—431no—
1158C22×Q8—431no—
1159C22×Q8—861no—
1160C22×Q8C22×D4311yescharacteristic
1161C22×D4—21no—
1162C22×D4C22×D4311yescharacteristic
1163C23×C4—21no—
1164C23×C4C22×D4311yescharacteristic
1165#137—1722no—
1166#137—1722no—
1167#137—1722no—
1168#137—1722no—
1169#135—42no—
1170#135—42no—
1171#135—1722no—
1172C2×Q16—431no—
1173C2×Q16—431no—
1174C2×Q16—431no—
1175C2×Q16—431no—
1176C2×Q16—431no—
1177C2×Q16—431no—
1178C2×Q16—431no—
1179C2×Q16—1722no—
1180C2×Q16C22×D4311yescharacteristic
1181C2×Q16C22×D4311yescharacteristic
1182C2×SD16—431no—
1183C2×SD16—431no—
1184C2×SD16—431no—
1185C2×SD16—431no—
1186C2×SD16—431no—
1187C2×SD16—431no—
1188C2×SD16—431no—
1189C2×SD16—431no—
1190C2×SD16C22×D4311yescharacteristic
1191C2×SD16C22×D4311yescharacteristic
1192C2×SD16C22×D4311yescharacteristic
1193C2×SD16C22×D4311yescharacteristic
1194C2×D8—431no—
1195C2×D8C22×D4311yescharacteristic
1196C2×D8C22×D4311yescharacteristic
1197C2×M16—431no—
1198C2×M16—431no—
1199C2×M16—431no—
1200C2×M16—431no—
1201C22×C8—431no—
1202C22×C8—431no—
1203C22×C8C22×D4311yescharacteristic
1204C22×C8C22×D4311yescharacteristic
1205C4⋊Q8—431no—
1206C4⋊Q8—431no—
1207C4⋊Q8—861no—
1208C4⋊Q8—861no—
1209#127—431no—
1210#127—431no—
1211#127—861no—
1212#127—861no—
1213#127—861no—
1214#127—861no—
1215#127—861no—
1216#126—861no—
1217#126—861no—
1218#126—861no—
1219#126—861no—
1220#126—861no—
1221#126—861no—
1222#126—861no—
1223#125—431no—
1224#125—861no—
1225#125—861no—
1226#125—861no—
1227#125—861no—
1228#124—431no—
1229#124—431no—
1230#124—431no—
1231#124—861no—
1232#124—861no—
1233#124—861no—
1234#124—861no—
1235#124—861no—
1236#124—861no—
1237#124—861no—
1238#124—861no—
1239#124—861no—
1240#124—861no—
1241#123—21no—
1242#123—431no—
1243#123—431no—
1244#123—861no—
1245#123—861no—
1246#123—861no—
1247#123—861no—
1248#123—861no—
1249#123—861no—
1250#123—861no—
1251#123—861no—
1252C22⋊Q8—431no—
1253C22⋊Q8—431no—
1254C22⋊Q8—431no—
1255C22⋊Q8—431no—
1256C22⋊Q8—431no—
1257C22⋊Q8—431no—
1258C22⋊Q8—431no—
1259C22⋊Q8—431no—
1260C22⋊Q8—431no—
1261C22⋊Q8—431no—
1262C22⋊Q8—431no—
1263C22⋊Q8—861no—
1264C22⋊Q8—861no—
1265C22⋊Q8—861no—
1266C22⋊Q8—861no—
1267C22⋊Q8—861no—
1268C22⋊Q8—861no—
1269C22⋊Q8—861no—
1270C22⋊Q8—861no—
1271C22⋊Q8—861no—
1272C22⋊Q8—861no—
1273C22⋊Q8—861no—
1274C22⋊Q8—861no—
1275C22⋊Q8—861no—
1276C22⋊Q8—861no—
1277C22⋊Q8C22×D4311yescharacteristic
1278C22⋊Q8C22×D4311yescharacteristic
1279#121—431no—
1280#121—431no—
1281#121—431no—
1282#121—431no—
1283#121—431no—
1284#121—431no—
1285#121—431no—
1286#121—431no—
1287#121—431no—
1288#121—861no—
1289#121—861no—
1290#121—861no—
1291#121—861no—
1292#121—861no—
1293#121—861no—
1294#121—861no—
1295#121—861no—
1296#121—861no—
1297#121—861no—
1298#121—861no—
1299#121—861no—
1300#121—861no—
1301#121—861no—
1302#121—861no—
1303#121—861no—
1304#121—861no—
1305#121—861no—
1306#121—861no—
1307#121—861no—
1308#121—861no—
1309#121C22×D4311yescharacteristic
1310#121C22×D4311yescharacteristic
1311#120—21no—
1312#120—431no—
1313#120—431no—
1314#120—861no—
1315#120—861no—
1316#120—861no—
1317#120—861no—
1318#120—861no—
1319C4×Q8—431no—
1320C4×Q8—431no—
1321C4×Q8—431no—
1322C4×Q8—431no—
1323C4×Q8—431no—
1324C4×Q8—431no—
1325C4×Q8—431no—
1326C4×Q8—861no—
1327C4×Q8—861no—
1328C4×Q8—861no—
1329C4×D4—21no—
1330C4×D4—21no—
1331C4×D4—431no—
1332C4×D4—431no—
1333C4×D4—431no—
1334C4×D4—431no—
1335C4×D4—431no—
1336C4×D4—861no—
1337C4×D4—861no—
1338C4×D4—861no—
1339C4×D4—861no—
1340C4×D4—861no—
1341C4×D4—861no—
1342C4×D4—861no—
1343C4×D4—861no—
1344C4×D4—861no—
1345C4×D4—861no—
1346C4×D4—861no—
1347C4×D4—861no—
1348C4×D4—861no—
1349C4×D4—861no—
1350C4×D4—861no—
1351#117—431no—
1352#117—431no—
1353#117—431no—
1354#117—861no—
1355#117—861no—
1356#117—861no—
1357#117C22×D4311yescharacteristic
1358C2×C4⋊C4—431no—
1359C2×C4⋊C4—431no—
1360C2×C4⋊C4—861no—
1361C2×C4⋊C4—861no—
1362C2×C22⋊C4—861no—
1363#107—431no—
1364#107—431no—
1365#107—431no—
1366#107—431no—
1367#106—431no—
1368#106—431no—
1369#106—431no—
1370#106—431no—
1371C4⋊C8—431no—
1372C4⋊C8—431no—
1373C4⋊C8—431no—
1374C4⋊C8—431no—
1375#103—431no—
1376#103—431no—
1377#103—431no—
1378#103—431no—
1379#103—431no—
1380#103—431no—
1381#103—431no—
1382#103—431no—
1383#103—431no—
1384#103—431no—
1385#103—431no—
1386#103—431no—
1387#103—431no—
1388#103—431no—
1389#103C22×D4311yescharacteristic
1390#103C22×D4311yescharacteristic
1391#103C22×D4311yescharacteristic
1392#103C22×D4311yescharacteristic
1393#102—431no—
1394#102—431no—
1395#102—431no—
1396#102—431no—
1397#102—431no—
1398#102—431no—
1399#102—431no—
1400#102—431no—
1401#102—431no—
1402#102—431no—
1403#102C22×D4311yescharacteristic
1404#102C22×D4311yescharacteristic
1405#102C22×D4311yescharacteristic
1406#102C22×D4311yescharacteristic
1407C22⋊C8—431no—
1408C22⋊C8—431no—
1409C22⋊C8—431no—
1410C22⋊C8—431no—
1411C22⋊C8—431no—
1412C22⋊C8—431no—
1413C22⋊C8—431no—
1414C22⋊C8—431no—
1415C22⋊C8C22×D4311yescharacteristic
1416C22⋊C8C22×D4311yescharacteristic
1417C22⋊C8C22×D4311yescharacteristic
1418C22⋊C8C22×D4311yescharacteristic
1419#97—431no—
1420#97—431no—
1421C4×C8—431no—
1422C4×C8—431no—
1423C24—21no—
1424C24D4×D4311yescharacteristic
1425#41—22no—
1426#41—22no—
1427#41—22no—
1428#41—22no—
1429#41—41no—
1430#41—41no—
1431#41—41no—
1432#41—41no—
1433#41—41no—
1434#41—41no—
1435#41—44no—
1436#41—44no—
1437#41—862no—
1438#41—862no—
1439#41—1721no—
1440#41—1721no—
1441#41—1721no—
1442#41—1721no—
1443#41—1724no—
1444#41—1724no—
1445#41—1721no—
1446#41—1721no—
1447#41—1721no—
1448#41—1721no—
1449#41—1724no—
1450C2×Q8—22no—
1451C2×Q8—22no—
1452C2×Q8—21no—
1453C2×Q8—431no—
1454C2×Q8—431no—
1455C2×Q8—431no—
1456C2×Q8—431no—
1457C2×Q8—861no—
1458C2×Q8—861no—
1459C2×Q8—861no—
1460C2×Q8—861no—
1461C2×Q8—861no—
1462C2×Q8—862no—
1463C2×Q8—862no—
1464C2×Q8—1721no—
1465C2×Q8—1721no—
1466C2×Q8—1721no—
1467C2×Q8—1721no—
1468C2×Q8—1721no—
1469C2×Q8—1721no—
1470C2×Q8—1724no—
1471C2×Q8C23×D4311yescharacteristic
1472C2×Q8C23×D4311yescharacteristic
1473C2×Q8C23×D4311yescharacteristic
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—41no—
1483C2×D4—41no—
1484C2×D4—44no—
1485C2×D4—431no—
1486C2×D4—431no—
1487C2×D4—431no—
1488C2×D4—431no—
1489C2×D4—431no—
1490C2×D4—431no—
1491C2×D4—431no—
1492C2×D4—431no—
1493C2×D4—861no—
1494C2×D4—861no—
1495C2×D4—861no—
1496C2×D4—861no—
1497C2×D4—861no—
1498C2×D4—861no—
1499C2×D4—861no—
1500C2×D4—861no—
1501C2×D4—861no—
1502C2×D4—861no—
1503C2×D4—861no—
1504C2×D4—861no—
1505C2×D4—861no—
1506C2×D4—861no—
1507C2×D4—861no—
1508C2×D4C23×D4311yescharacteristic
1509C2×D4C23×D4311yescharacteristic
1510C2×D4C23×D4311yescharacteristic
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—21no—
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—41no—
1518C22×C4—41no—
1519C22×C4—44no—
1520C22×C4—431no—
1521C22×C4—431no—
1522C22×C4—861no—
1523C22×C4—861no—
1524C22×C4—861no—
1525C22×C4—861no—
1526C22×C4—861no—
1527C22×C4—861no—
1528C22×C4—861no—
1529C22×C4—861no—
1530C22×C4—861no—
1531C22×C4—861no—
1532C22×C4—861no—
1533C22×C4D4×D4311yescharacteristic
1534C22×C4D4×D4311yescharacteristic
1535C22×C4D4×D4311yescharacteristic
1536C22×C4C23×D4311yescharacteristic
1537C22×C4C23×D4311yescharacteristic
1538C22×C4C23×D4311yescharacteristic
1539Q16—22no—
1540Q16—22no—
1541Q16—862no—
1542Q16—862no—
1543Q16—862no—
1544Q16—862no—
1545Q16—1721no—
1546Q16—1721no—
1547Q16—1721no—
1548SD16—22no—
1549SD16—22no—
1550SD16—41no—
1551SD16—41no—
1552SD16—1721no—
1553SD16—1721no—
1554SD16—1721no—
1555SD16—1721no—
1556SD16—1721no—
1557SD16—1721no—
1558SD16—1721no—
1559SD16—1721no—
1560D8—41no—
1561D8—41no—
1562D8—1721no—
1563M16—1721no—
1564M16—1721no—
1565M16—1721no—
1566M16—1721no—
1567C2×C8—41no—
1568C2×C8—41no—
1569C2×C8—431no—
1570C2×C8—431no—
1571C2×C8—431no—
1572C2×C8—431no—
1573C2×C8—1721no—
1574C2×C8—1721no—
1575C2×C8C23×D4311yescharacteristic
1576C2×C8C23×D4311yescharacteristic
1577C2×C8C23×D4311yescharacteristic
1578C2×C8C23×D4311yescharacteristic
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—431no—
1582C4⋊C4—431no—
1583C4⋊C4—431no—
1584C4⋊C4—431no—
1585C4⋊C4—431no—
1586C4⋊C4—431no—
1587C4⋊C4—431no—
1588C4⋊C4—431no—
1589C4⋊C4—431no—
1590C4⋊C4—431no—
1591C4⋊C4—861no—
1592C4⋊C4—861no—
1593C4⋊C4—861no—
1594C4⋊C4—861no—
1595C4⋊C4—861no—
1596C4⋊C4—861no—
1597C4⋊C4—861no—
1598C4⋊C4—861no—
1599C4⋊C4—861no—
1600C4⋊C4—861no—
1601C4⋊C4—861no—
1602C4⋊C4—861no—
1603C4⋊C4—861no—
1604C4⋊C4—861no—
1605C4⋊C4—861no—
1606C4⋊C4—861no—
1607C4⋊C4—861no—
1608C4⋊C4—861no—
1609C4⋊C4—861no—
1610C4⋊C4—861no—
1611C4⋊C4—861no—
1612C4⋊C4—861no—
1613C4⋊C4—861no—
1614C4⋊C4C23×D4311yescharacteristic
1615C4⋊C4C23×D4311yescharacteristic
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—431no—
1622C22⋊C4—431no—
1623C22⋊C4—431no—
1624C22⋊C4—431no—
1625C22⋊C4—431no—
1626C22⋊C4—431no—
1627C22⋊C4—431no—
1628C22⋊C4—431no—
1629C22⋊C4—431no—
1630C22⋊C4—431no—
1631C22⋊C4—861no—
1632C22⋊C4—861no—
1633C22⋊C4—861no—
1634C22⋊C4—861no—
1635C22⋊C4—861no—
1636C22⋊C4—861no—
1637C22⋊C4—861no—
1638C22⋊C4—861no—
1639C22⋊C4—861no—
1640C22⋊C4—861no—
1641C22⋊C4—861no—
1642C22⋊C4—861no—
1643C22⋊C4—861no—
1644C22⋊C4—861no—
1645C22⋊C4—861no—
1646C22⋊C4—861no—
1647C22⋊C4—861no—
1648C22⋊C4—861no—
1649C22⋊C4—861no—
1650C22⋊C4—861no—
1651C22⋊C4—861no—
1652C22⋊C4—861no—
1653C22⋊C4—861no—
1654C22⋊C4—861no—
1655C22⋊C4—861no—
1656C42—21no—
1657C42—431no—
1658C42—431no—
1659C42—861no—
1660C42—861no—
1661C42—861no—
1662C42—861no—
1663C42—861no—
1664C42—861no—
1665C42—861no—
1666C42—861no—
1667C42—861no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—41no—
1672C23—41no—
1673C23—41no—
1674C23—42no—
1675C23—81no—
1676C23—81no—
1677C23—431no—
1678C23—431no—
1679C23—861no—
1680C23C2×D4×D4311yescharacteristic
1681C23C2×D4×D4311yescharacteristic
1682C23C2×D4×D4311yescharacteristic
1683Q8—24no—
1684Q8—21no—
1685Q8—21no—
1686Q8—21no—
1687Q8—21no—
1688Q8—861no—
1689Q8—861no—
1690Q8—861no—
1691Q8—861no—
1692Q8—861no—
1693Q8—861no—
1694Q8—3441no—
1695Q8—3441no—
1696Q8—3441no—
1697Q8—1721no—
1698Q8—1722no—
1699Q8—1722no—
1700Q8#1306337012yes—
1701Q8#1306337012yes—
1702D4—21no—
1703D4—21no—
1704D4—21no—
1705D4—21no—
1706D4—21no—
1707D4—21no—
1708D4—42no—
1709D4—42no—
1710D4—42no—
1711D4—42no—
1712D4—42no—
1713D4—42no—
1714D4—81no—
1715D4—81no—
1716D4—861no—
1717D4—861no—
1718D4—3441no—
1719D4—3441no—
1720D4—3441no—
1721D4—3441no—
1722D4—3441no—
1723D4—3441no—
1724D4—3441no—
1725D4—3441no—
1726D4—3441no—
1727D4—3441no—
1728D4—3441no—
1729D4—3441no—
1730D4—1721no—
1731D4—1722no—
1732D4—1722no—
1733D4—1721no—
1734D4—1721no—
1735D4—1721no—
1736D4—1721no—
1737D4—1721no—
1738D4—1721no—
1739D4—1722no—
1740C2×C4—24no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—41no—
1753C2×C4—41no—
1754C2×C4—41no—
1755C2×C4—42no—
1756C2×C4—42no—
1757C2×C4—42no—
1758C2×C4—42no—
1759C2×C4—81no—
1760C2×C4—431no—
1761C2×C4—431no—
1762C2×C4—431no—
1763C2×C4—431no—
1764C2×C4—431no—
1765C2×C4—431no—
1766C2×C4—861no—
1767C2×C4—861no—
1768C2×C4—861no—
1769C2×C4—861no—
1770C2×C4—861no—
1771C2×C4—861no—
1772C2×C4—861no—
1773C2×C4—861no—
1774C2×C4—861no—
1775C2×C4—861no—
1776C2×C4—861no—
1777C2×C4—3441no—
1778C2×C4—3441no—
1779C2×C4—3441no—
1780C2×C4—3441no—
1781C2×C4—3441no—
1782C2×C4—3441no—
1783C2×C4—1722no—
1784C2×C4—1722no—
1785C2×C4—1722no—
1786C2×C4—1722no—
1787C2×C4—1722no—
1788C2×C4C2×D4×D4311yescharacteristic
1789C2×C4C2×D4×D4311yescharacteristic
1790C2×C4C2×D4×D4311yescharacteristic
1791C2×C4C24×D4311yescharacteristic
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—861no—
1797C8—861no—
1798C8—861no—
1799C8—861no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—82no—
1819C22—84no—
1820C22—861no—
1821C22—861no—
1822C22—861no—
1823C22—861no—
1824C22—861no—
1825C22—861no—
1826C22—1721no—
1827C22—1721no—
1828C22—1721no—
1829C22C22×D4×D4311yescharacteristic
1830C4—22no—
1831C4—22no—
1832C4—21no—
1833C4—21no—
1834C4—21no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—861no—
1839C4—861no—
1840C4—861no—
1841C4—861no—
1842C4—861no—
1843C4—861no—
1844C4—1721no—
1845C4—1721no—
1846C4—1721no—
1847C4—1721no—
1848C4—1721no—
1849C4—1721no—
1850C4—1721no—
1851C4C2×#1306337011yescharacteristic
1852C4C2×#1306337011yescharacteristic
1853C2—41no—
1854C2—41no—
1855C2—41no—
1856C2—81no—
1857C2—81no—
1858C2—81no—
1859C2—3441no—
1860C2—1721no—
1861C2—1721no—
1862C2#1914822411yescharacteristic
1863C2#1914936411yescharacteristic
1864C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3002C2
socleC22×C43C23×D4
hypercenter#3002D43
hypocenterC43#61615
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3002

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #19148880C2semidirect
2. #19148253C2semidirect
3. #19146926C2semidirect
4. #19146841C2semidirect
5. #19146717C2semidirect
6. #19146699C2semidirect
7. #19146657C2semidirect
8. #19146594C2semidirect
9. #19146530C2semidirect
10. #19146483C2semidirect
11. #19146330C2semidirect
12. #19146319C2semidirect
13. #19146254C2semidirect
14. #19146245C2semidirect
15. #19146180C2semidirect
16. #19146178C2semidirect
17. #19146163C2semidirect
18. #19146150C2semidirect
19. #19145685C2semidirect
20. #19145663C2semidirect
21. #19145464C2semidirect
22. #19145443C2semidirect
23. #19145432C2semidirect
24. #19145378C2semidirect
25. #19144889C2semidirect
26. #19144817C2semidirect
27. #19143905C2semidirect
28. #19143885C2semidirect
29. #19143855C2semidirect
30. #19143640C2semidirect
31. C43×#3002C2semidirect
33. C2×#13063357C22semidirect
36. C2×#13063354C22semidirect
37. C2×#13063346C22semidirect
38. C2×Q16×D43C22semidirect
41. #14583617C22semidirect
43. #14583607C22semidirect
44. #14583601C22semidirect
46. #14583588C22semidirect
53. #14583562C22semidirect
60. #14583556C22semidirect
61. #14583555C22semidirect
62. #14583548C22semidirect
81. #14583290C22semidirect
82. #14583287C22semidirect
83. #14583282C22semidirect
84. #14583270C22semidirect
85. #14583262C22semidirect
86. #14583257C22semidirect
87. #14583252C22semidirect
88. #14583244C22semidirect
91. #14583240C22semidirect
93. #14583230C22semidirect
94. #14583223C22semidirect
95. #14583222C22semidirect
96. #14583221C22semidirect
98. #14583216C22semidirect
99. #14583213C22semidirect
100. #14583211C22semidirect
101. #14583208C22semidirect
102. #14583204C22semidirect
103. #14583192C22semidirect
104. #14583182C22semidirect
105. #14583155C22semidirect
106. #14583150C22semidirect
107. #14583149C22semidirect
108. #14583147C22semidirect
109. #14583144C22semidirect
110. #14583144C22semidirect
111. #14583143C22semidirect
112. #14583142C22semidirect
113. #14583140C22semidirect
114. #14583140C22semidirect
115. #14583132C22semidirect
116. #14583128C22semidirect
117. #14583128C22semidirect
118. #14583127C22semidirect
119. #14583127C22semidirect
120. #14583125C22semidirect
121. #14583120C22semidirect
122. #14583120C22semidirect
123. #14583119C22semidirect
124. #14583119C22semidirect
125. #14583119C22semidirect
126. #14583112C22semidirect
127. #14583107C22semidirect
128. #14583107C22semidirect
129. #14583098C22semidirect
130. #14583098C22semidirect
131. #14583097C22semidirect
132. #14583092C22semidirect
133. #14583064C22semidirect
134. #14583064C22semidirect
141. #14583061C22semidirect
142. #14583060C22semidirect
144. #14583057C22semidirect
145. #14583056C22semidirect
146. #14583056C22semidirect
149. #14583053C22semidirect
152. #14583044C22semidirect
153. #14583043C22semidirect
155. #14583041C22semidirect
156. #14583041C22semidirect
157. #14583040C22semidirect
158. #14583036C22semidirect
159. #14583036C22semidirect
160. #14583036C22semidirect
161. #14583006C22semidirect
162. #14583003C22semidirect
163. #14583003C22semidirect
164. #14583000C22semidirect
165. Q16×Dic43C22semidirect
166. #14582991C22semidirect
167. #14582991C22semidirect
168. SD16×Dic43C22semidirect
169. #14582974C22semidirect
170. #14582974C22semidirect
171. #14582973C22semidirect
172. #14582973C22semidirect
173. #14582970C22semidirect
174. #14582970C22semidirect
175. C8×C22⋊D43C22semidirect
176. C8×C22⋊D43C22semidirect
179. #14582906C22semidirect
182. #14582899C22semidirect
183. #14582894C22semidirect
184. #103×D43C22semidirect
950. #3002D43semidirect
1135. C43#61615semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#191488802
#191482532
#191469262
#191468412
#191467172
#191466992
#191466572
#191465942
#191465302
#191464832
#191463302
#191463192
#191462542
#191462452
#191461802
#191461782
#191461632
#191461502
#191456852
#191456632
#191454642
#191454432
#191454322
#191453782
#191448892
#191448172
#191439052
#191438852
#191438552
#191436402
C43×#30022
#6161543